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Finding the Fourth Proportional to 120,377.53, 180,467.78 and 45,455.17

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Solution

The fourth proportional to 120,377.53, 180,467.78 and 45,455.17 is: 68,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,377.53 : 180,467.78 = 45,455.17 : x
  2. Step 2: Convert to fraction form
    120,377.53/180,467.78 = 45,455.17/x
  3. Step 3: Cross multiply
    120,377.53x = 180,467.78 × 45,455.17
  4. Step 4: Simplify right side
    120,377.53x = 8,203,193,619.42
  5. Step 5: Solve for x
    x = 8,203,193,619.42/120,377.53
  6. Step 6: Final answer
    x = 68,145.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.